I just finished watching Howard Goodall's Big Bangs episode on the invention of equal temperament. It's fascinating stuff where western music is based on the 12 tone octave system.
You've got 12 tones in an octave and the tones are mathematically derived as to the 12th root of 2. I never knew this before and it was very well presented.
It also makes sense of the circle of fifths.
https://en.wikipedia.org/wiki/Equal_temperament
https://en.wikipedia.org/wiki/Twelfth_root_of_two
https://en.wikipedia.org/wiki/Circle_of_fifths
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